Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., pi2).
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
|Learning Targets and Learning Criteria|
Students are successful when they can…
- estimate the value of an irrational number by rounding to a specific place value.
- locate irrational numbers approximately on a number line.
- compare the size of two irrational numbers by using a number line.
- use reasoning to determine between which two consecutive whole numbers a square root will fall on a number line.
- recognize perfect squares and non-perfect squares and numbers that are perfect cubes.
- recognize taking a square root of a number as the inverse of squaring that number and taking a cube root of a number as the inverse of cubing that number.
- evaluate the square root of a perfect square and the cube root of a perfect cube.
- justify that the square root of a non-perfect square will be irrational and that the cube root of a non-perfect cube will be irrational.
Monday (Innovative & 3rd Period) / Tuesday (5th Period)
- Work on unfinished assignments from last week until lunch (3rd & Innovative only)
- Intro to Square Roots – khan Academy
- Square Roots and Cube Roots from i-Ready (36 minutes)
- Assignments – IXL 8th Grade (due Friday, November 13th)
- D. – New! Identify rational and irrational square roots
- F.15 – Square roots of perfect squares
- F.19 – Relationships between squares and square roots
- F.20 – Solve equations using square roots
- F.21 – Cube roots of positive perfect cubes
- F.23 – Solve equations using cube roots
Veterans Day Holiday
Thursday (Innovative & 3rd Period) / Friday (5th Period)
- Finish missing assignments until lunch (3rd & Innovative only)
- Instruction – Estimating and Comparing Square Roots
- Estimating and Comparing Square Roots Guided Notes
- Approximating Square Roots video from khan Academy
- Approximating Irrational Numbers Instruction from i-Ready
- Math Nation Examples
- Assignments (due Tuesday, November 17th)
- IXLs – 8th Grade
- F.16 – Estimate positive square roots
- F.24 – Estimate cube roots
- Edgenuity – Estimating and Comparing Square Roots
- Prodigy – Rational Approximations (not graded)
- Edgenuity – Exploring Real Numbers Quiz
- IXL 8th Grade D.4 Convert between decimals and fractions or mixed numbers
- IXL 8th Grade D.5 Identify rational and irrational numbers
- i-Ready Teacher Assigned Lesson – Rational and Irrational Numbers Quiz
- IXL 8th Grade D. – New! Identify rational and irrational square roots
- IXL 8th Grade F.15 – Square roots of perfect squares
- IXL 8th Grade F.19 – Relationships between squares and square roots
- IXL 8th Grade F.20 – Solve equations using square roots
- IXL 8th Grade F.21 – Cube roots of positive perfect cubes
- IXL 8th Grade F.23 – Solve equations using cube roots
All IEP accommodations will be provided each period.